A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
---|---|---|---|---|---|---|
(x&(f&(b|x)))
|
(f>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&q)&z)
|
((b>f)|(((j|z)&j)|f))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&j)
|
((g>z)|~(((~(((z>x)>x))|~(~(z)))>x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|(j|j)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(z&j)
|
~(j)
| 0 | 1 | 1 | 0 |
not entailment
|
~((q|(j|j)))
|
((g>z)|~(((~(((z>x)>x))|~(~(z)))>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(h)>x)>~(~(~((g>g)))))
|
((h&(~((b&(f&h)))&(h>b)))>q)
| 1 | 1 | 0 | 0 |
entailment
|
(h&(z|q))
|
(((f>x)|h)|(f&h))
| 1 | 0 | 0 | 0 |
entailment
|
((~(h)>x)>~(~(~((g>g)))))
|
(((f>x)|h)|(f&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(z|q))
|
((h&(~((b&(f&h)))&(h>b)))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((x&x)|h))))
|
((z|(x>f))|h)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(g)&~((f&x))))
|
((x&~(g))|g)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((x&x)|h))))
|
((x&~(g))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(g)&~((f&x))))
|
((z|(x>f))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&(z&g))|((~(z)|h)|(h&q)))&q)
|
(((b|b)&j)|q)
| 1 | 1 | 0 | 0 |
entailment
|
~((((x|h)>z)>(h|z)))
|
~((~((h>~((g>h))))&f))
| 1 | 0 | 0 | 0 |
entailment
|
(((h&(z&g))|((~(z)|h)|(h&q)))&q)
|
~((~((h>~((g>h))))&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((x|h)>z)>(h|z)))
|
(((b|b)&j)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(h)&~(~(z)))&((z>x)|f))
|
(f>~(~((q|z))))
| 1 | 1 | 0 | 0 |
entailment
|
((b&~(f))|b)
|
(h|b)
| 1 | 1 | 0 | 0 |
entailment
|
((~(h)&~(~(z)))&((z>x)|f))
|
(h|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((b&~(f))|b)
|
(f>~(~((q|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&x)
|
~(~((z|((b|g)>f))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h)))
|
(h>q)
| 1 | 1 | 1 | 1 |
entailment
|
(f&x)
|
(h>q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h)))
|
~(~((z|((b|g)>f))))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&z)&j)
|
(((h>z)|q)>~(~((f>(z|j)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((g|(h>j)))
|
~((j&(~((f&(~(x)|(f|j))))>f)))
| 1 | 0 | 0 | 0 |
entailment
|
((z&z)&j)
|
~((j&(~((f&(~(x)|(f|j))))>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g|(h>j)))
|
(((h>z)|q)>~(~((f>(z|j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((z>h)>f)&g)&q)
|
((((h>q)&f)>(h>(j>h)))>g)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(x)>~(z)))
|
(((h&(j|h))>b)|~((h>(x&z))))
| 1 | 0 | 0 | 0 |
entailment
|
((((z>h)>f)&g)&q)
|
(((h&(j|h))>b)|~((h>(x&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(x)>~(z)))
|
((((h>q)&f)>(h>(j>h)))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|g)|b)&(((z|z)>~((z|g)))>f))
|
(((g|(f|(b&x)))|(q|z))|q)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((j&(h>g))&(j|j))))
|
(h>(b>g))
| 1 | 1 | 0 | 0 |
entailment
|
(((b|g)|b)&(((z|z)>~((z|g)))>f))
|
(h>(b>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((j&(h>g))&(j|j))))
|
(((g|(f|(b&x)))|(q|z))|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(q>h)
|
((h|q)>h)
| 1 | 0 | 1 | 0 |
entailment
|
(g&(z|((~(g)|j)|(q>j))))
|
((j&f)|g)
| 1 | 1 | 0 | 0 |
entailment
|
(q>h)
|
((j&f)|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(z|((~(g)|j)|(q>j))))
|
((h|q)>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&h)
|
(b|(((q>z)|z)|g))
| 1 | 0 | 0 | 0 |
entailment
|
~((j>z))
|
(z>g)
| 1 | 1 | 0 | 0 |
entailment
|
(b&h)
|
(z>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((j>z))
|
(b|(((q>z)|z)|g))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>h)&(j&(f&x)))
|
(z>f)
| 1 | 1 | 0 | 0 |
entailment
|
((x&z)&(x&q))
|
((q|z)|g)
| 1 | 1 | 0 | 0 |
entailment
|
((x>h)&(j&(f&x)))
|
((q|z)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&z)&(x&q))
|
(z>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(~(x))|x)|f))&~(~(h)))
|
(f>(q>~(g)))
| 1 | 1 | 0 | 0 |
entailment
|
((z&f)&j)
|
((z|g)>(x|j))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((~(~(x))|x)|f))&~(~(h)))
|
((z|g)>(x|j))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&f)&j)
|
(f>(q>~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~((u>p))))|((u>(p&s))&(u&o)))
|
(~(u)>(o|u))
| 1 | 1 | 1 | 1 |
entailment
|
(f&~((~(t)>((t|s)>p))))
|
(((t&u)>(f>(s&v)))|v)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~((u>p))))|((u>(p&s))&(u&o)))
|
(((t&u)>(f>(s&v)))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&~((~(t)>((t|s)>p))))
|
(~(u)>(o|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(s)|(f|f)))
|
~(((s|s)&~(((o&(s>t))|~((f&f))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((t>t)>~(~(~(u))))|~((t|(f>(f>p)))))
|
(((s&v)>t)|(u>f))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(s)|(f|f)))
|
(((s&v)>t)|(u>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(((t>t)>~(~(~(u))))|~((t|(f>(f>p)))))
|
~(((s|s)&~(((o&(s>t))|~((f&f))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|~(o))&s)
|
(((p|p)|((f&o)|~(s)))>(((s&s)>s)&s))
| 1 | 0 | 0 | 0 |
entailment
|
((s|f)&v)
|
((p&~((v&p)))>~((((o|u)>o)|((u>p)>f))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|~(o))&s)
|
((p&~((v&p)))>~((((o|u)>o)|((u>p)>f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((s|f)&v)
|
(((p|p)|((f&o)|~(s)))>(((s&s)>s)&s))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~(~(t))>t)|t)&s)&(u&f))
|
((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v))
| 1 | 0 | 0 | 0 |
entailment
|
(~(u)|((p|t)&p))
|
(u>((t&t)>((t|~(t))&p)))
| 1 | 0 | 1 | 0 |
entailment
|
((((~(~(t))>t)|t)&s)&(u&f))
|
(u>((t&t)>((t|~(t))&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(u)|((p|t)&p))
|
((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((t|p)>v))))
|
~(((~(~((u|o)))>u)&v))
| 1 | 0 | 0 | 0 |
entailment
|
((v|f)&~(((~(s)>(f&s))>(v>f))))
|
(o>((u|~((s>(f>(~(t)|p)))))>v))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((t|p)>v))))
|
(o>((u|~((s>(f>(~(t)|p)))))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|f)&~(((~(s)>(f&s))>(v>f))))
|
~(((~(~((u|o)))>u)&v))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(o)))
|
(o>(v>p))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>u))
|
(~((((f>o)>(o|(p|f)))&p))>(f&~((p&v))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(o)))
|
(~((((f>o)>(o|(p|f)))&p))>(f&~((p&v))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>u))
|
(o>(v>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(t))
|
~(~((o>((v>u)>((u>v)|(p|t))))))
| 1 | 0 | 0 | 0 |
entailment
|
((u|f)&s)
|
(~((((u>p)&o)>v))>s)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(t))
|
(~((((u>p)&o)>v))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
((u|f)&s)
|
~(~((o>((v>u)>((u>v)|(p|t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v>(u|~((v>p)))))
|
~(~(~((u&u))))
| 1 | 1 | 1 | 1 |
entailment
|
(f&((f&(s|o))&(t&~(s))))
|
((v|o)>f)
| 1 | 1 | 0 | 0 |
entailment
|
~((v>(u|~((v>p)))))
|
((v|o)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&((f&(s|o))&(t&~(s))))
|
~(~(~((u&u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((f&~(u))))
|
((((~(o)&o)&(f>f))|t)|((s>u)|(v|f)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>(u&t)))
|
((o&(o|~(t)))>((s|~(o))|v))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((f&~(u))))
|
((o&(o|~(t)))>((s|~(o))|v))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>(u&t)))
|
((((~(o)&o)&(f>f))|t)|((s>u)|(v|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((f>v))>p)>(s&~(s)))
|
(s>(~((f&(t&p)))>(p>t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((o|(v|f)))>~(~((p>u)))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((~((f>v))>p)>(s&~(s)))
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((o|(v|f)))>~(~((p>u)))))
|
(s>(~((f&(t&p)))>(p>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~((v|o))>(o|f))|(u>o))&~(p)))
|
(((v>s)|(v&p))|s)
| 1 | 1 | 0 | 0 |
entailment
|
((((v>o)&((u>v)|o))&((v|u)>v))&u)
|
((~(p)|~(~(~(t))))>((f|u)|u))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~((v|o))>(o|f))|(u>o))&~(p)))
|
((~(p)|~(~(~(t))))>((f|u)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((((v>o)&((u>v)|o))&((v|u)>v))&u)
|
(((v>s)|(v&p))|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(u)|p)))
|
(((~((p&f))>(p&o))&f)|((f&u)>(f&t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((s>v)|((p|o)&u))>~((o>(o>o))))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
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